premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If paul is both not quiet and not calm then someone is both not rich and tall.
Everyone who is both rich and not kind is either not brave or not humble.
Everyone who is strong is not wise or not creative and vice versa.
Everyone who is not rich is tall or wise and vice versa.
If someone is strong or not brave then some... | John is tall. | neutral | (((~quiet(paul)&~calm(paul)))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((rich(X)&~kind(X))=>(~brave(X)<~>~humble(X))))&
(![X]:(strong(X)<=>(~wise(X)|~creative(X))))&
(![X]:(~rich(X)<=>(tall(X)|wise(X))))&
((?[X]:((strong(X)|~brave(X))))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((patient(X)|rich(X))=>(~rich(X)<~>~humble(X))))... | tall(john) | [] | null | 0 |
Everyone who is generous is either not generous or tall.
If susan is both not happy and old then someone is creative.
If someone is not patient then paul is old.
If paul is either not happy or happy then lucy is either not humble or generous and vice versa.
If someone is either not funny or creative then fred is either... | Paul is creative. | entailment | (![X]:(generous(X)=>(~generous(X)<~>tall(X))))&
(((~happy(susan)&old(susan)))=>(?[X]:(creative(X))))&
((?[X]:(~patient(X)))=>(old(paul)))&
(((~happy(paul)<~>happy(paul)))<=>((~humble(lucy)<~>generous(lucy))))&
((?[X]:((~funny(X)<~>creative(X))))=>((~funny(fred)<~>quiet(fred))))&
(![X]:((~generous(X)&strong(X))<=>(wise(... | creative(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 156769483735010975391654
% SZS output start Proof for 156769483735010975391654
21. creative(paul) [input p20]
25. ~creative(paul) [input hypothesis]
131. creative(paul) [cnf transformation 21]
135. ~creative(paul) [cnf transformation 25]
280. 30 <=> creative(paul) [avatar definition]
349.... | 0 |
If paul is either not creative or rich then someone is not rich or kind.
If alice is both not patient and not calm then someone is funny or old.
If mary is not patient then fred is both not creative and not happy and vice versa.
Everyone who is not quiet is both creative and not kind and vice versa.
Everyone who is eit... | Paul is creative. | neutral | (((~creative(paul)<~>rich(paul)))=>(?[X]:((~rich(X)|kind(X)))))&
(((~patient(alice)&~calm(alice)))=>(?[X]:((funny(X)|old(X)))))&
((~patient(mary))<=>((~creative(fred)&~happy(fred))))&
(![X]:(~quiet(X)<=>(creative(X)&~kind(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(curious(X)&kind(X))))&
(((~patient(john)<~>old(john)))=>(... | creative(paul) | [] | null | 0 |
If someone is either not quiet or not funny then someone is not old or not rich.
If paul is both not tall and not kind then someone is either old or funny.
Everyone who is not tall or not wise is either strong or not rich.
Everyone who is either wise or kind is either generous or tall.
If someone is not strong or not h... | Fred is not kind. | entailment | ((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:((~old(X)|~rich(X)))))&
(((~tall(paul)&~kind(paul)))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((~tall(X)|~wise(X))=>(strong(X)<~>~rich(X))))&
(![X]:((wise(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((~strong(X)|~humble(X))))<=>((~curious(alice)|~rich(alice))))&
(![X]:(tall(X)... | ~kind(fred) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7221312764140931859373092
% SZS output start Proof for 7221312764140931859373092
7. ? [X0] : (kind(X0) | ~tall(X0)) => (~humble(alice) & strong(alice)) [input p6]
16. ! [X0] : ((~humble(X0) | ~strong(X0)) => (humble(X0) & ~strong(X0))) [input p15]
23. kind(fred) [input hypothesis]
30. (~h... | 0 |
If mary is both not curious and happy then mary is humble or not generous.
If someone is not old or rich then someone is both brave and rich.
If john is wise then alice is both not rich and strong and vice versa.
If someone is not rich then someone is not patient.
If mary is either not creative or kind then fred is eit... | Lucy is rich. | contradiction | (((~curious(mary)&happy(mary)))=>((humble(mary)|~generous(mary))))&
((?[X]:((~old(X)|rich(X))))=>(?[X]:((brave(X)&rich(X)))))&
((wise(john))<=>((~rich(alice)&strong(alice))))&
((?[X]:(~rich(X)))=>(?[X]:(~patient(X))))&
(((~creative(mary)<~>kind(mary)))<=>((~generous(fred)<~>~wise(fred))))&
(![X]:((~humble(X)&~creative(... | rich(lucy) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 669679978577296913879928
% SZS output start Proof for 669679978577296913879928
2. ? [X0] : (rich(X0) | ~old(X0)) => ? [X0] : (rich(X0) & brave(X0)) [input p1]
10. ! [X0] : ((rich(X0) | ~old(X0)) <=> ~brave(X0)) [input p9]
24. rich(lucy) [input hypothesis]
25. ? [X0] : (rich(X0) | ~old(X0)... | 0 |
If someone is not calm then someone is both strong and creative and vice versa.
Everyone who is not funny is not kind or not creative.
If someone is calm then susan is not wise and vice versa.
If someone is calm then lucy is both curious and not wise.
If someone is both not tall and not quiet then someone is not patien... | Paul is generous. | contradiction | ((?[X]:(~calm(X)))<=>(?[X]:((strong(X)&creative(X)))))&
(![X]:(~funny(X)=>(~kind(X)|~creative(X))))&
((?[X]:(calm(X)))<=>(~wise(susan)))&
((?[X]:(calm(X)))=>((curious(lucy)&~wise(lucy))))&
((?[X]:((~tall(X)&~quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((brave(X)|strong(X))=>(brave(X)|~strong(X))))&
(![X]:((~creative(X)&... | generous(paul) | [
"p0",
"p4",
"p6",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 529847654610369722129548
% SZS output start Proof for 529847654610369722129548
1. ? [X0] : ~calm(X0) <=> ? [X0] : (creative(X0) & strong(X0)) [input p0]
5. ? [X0] : (~quiet(X0) & ~tall(X0)) <=> ? [X0] : ~patient(X0) [input p4]
7. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (curious(X0) | ... | 0 |
If someone is both not humble and creative then mary is either not tall or not old and vice versa. Everyone who is either creative or strong is rich. Everyone who is generous or strong is both not calm and happy. Everyone who is not happy or not brave is strong and vice versa. Everyone who is not generous or funny is b... | Fred is wise. | entailment | ((?[X]:((~humble(X)&creative(X))))<=>((~tall(mary)<~>~old(mary))))&
(![X]:((creative(X)<~>strong(X))=>rich(X)))&
(![X]:((generous(X)|strong(X))=>(~calm(X)&happy(X))))&
(![X]:((~happy(X)|~brave(X))<=>strong(X)))&
(![X]:((~generous(X)|funny(X))<=>(~kind(X)&calm(X))))&
(((humble(alice)|old(alice)))=>(?[X]:((~old(X)|~wise(... | wise(fred) | [
"p2",
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 460383515946572072882507
% SZS output start Proof for 460383515946572072882507
3. ! [X0] : ((strong(X0) | generous(X0)) => (happy(X0) & ~calm(X0))) [input p2]
5. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (calm(X0) & ~kind(X0))) [input p4]
7. ! [X0] : ((humble(X0) | ~strong(X0)) => (calm(X... | 0 |
If lucy is both curious and humble then susan is not rich or not old.
If someone is not old or kind then someone is either not strong or old.
If susan is either not calm or not kind then someone is curious.
If alice is not rich or curious then john is either calm or wise.
Everyone who is either old or not generous is n... | Alice is wise. | contradiction | (((curious(lucy)&humble(lucy)))=>((~rich(susan)|~old(susan))))&
((?[X]:((~old(X)|kind(X))))=>(?[X]:((~strong(X)<~>old(X)))))&
(((~calm(susan)<~>~kind(susan)))=>(?[X]:(curious(X))))&
(((~rich(alice)|curious(alice)))=>((calm(john)<~>wise(john))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|quiet(X))))&
((?[X]:((curious(X)... | wise(alice) | [
"p7",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4091686423611050820433227
% SZS output start Proof for 4091686423611050820433227
8. ! [X0] : ((calm(X0) | ~happy(X0)) => ~quiet(X0)) [input p7]
9. ? [X0] : (~calm(X0) | ~brave(X0)) => ~wise(alice) [input p8]
23. ? [X0] : (~patient(X0) & quiet(X0)) [input p22]
25. wise(alice) [input hypoth... | 0 |
Everyone who is not strong or patient is either not patient or humble.
Everyone who is either generous or strong is not quiet or humble and vice versa.
If someone is rich or happy then mary is not calm or strong.
Everyone who is either kind or not wise is both not humble and calm.
Everyone who is either not old or pati... | Lucy is rich. | neutral | (![X]:((~strong(X)|patient(X))=>(~patient(X)<~>humble(X))))&
(![X]:((generous(X)<~>strong(X))<=>(~quiet(X)|humble(X))))&
((?[X]:((rich(X)|happy(X))))=>((~calm(mary)|strong(mary))))&
(![X]:((kind(X)<~>~wise(X))=>(~humble(X)&calm(X))))&
(![X]:((~old(X)<~>patient(X))<=>~strong(X)))&
((happy(alice))=>((~old(fred)<~>generou... | rich(lucy) | [] | null | 0 |
Everyone who is both creative and not curious is not kind and vice versa.
Everyone who is both curious and brave is funny or patient and vice versa.
Everyone who is either not creative or not brave is both not funny and not brave and vice versa.
If paul is both creative and not happy then mary is not old or not calm.
E... | Mary is not happy. | contradiction | (![X]:((creative(X)&~curious(X))<=>~kind(X)))&
(![X]:((curious(X)&brave(X))<=>(funny(X)|patient(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~funny(X)&~brave(X))))&
(((creative(paul)&~happy(paul)))=>((~old(mary)|~calm(mary))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(creative(X)&~wise(X))))&
((?[X]:((happy(X)|~humble(X))))=>(c... | ~happy(mary) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9078773378696793259168206
% SZS output start Proof for 9078773378696793259168206
2. ! [X0] : ((brave(X0) & curious(X0)) <=> (patient(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> ~brave(X0)) <=> (~brave(X0) & ~funny(X0))) [input p2]
11. ! [X0] : ((~creative(X0) & old(X0)) <... | 0 |
Everyone who is strong is not curious or not tall. Everyone who is not happy is both quiet and calm. If alice is both not creative and not curious then someone is not calm and vice versa. If someone is either funny or not humble then someone is wise or not humble and vice versa. If alice is both not strong and tall the... | Alice is generous. | neutral | (![X]:(strong(X)=>(~curious(X)|~tall(X))))&
(![X]:(~happy(X)=>(quiet(X)&calm(X))))&
(((~creative(alice)&~curious(alice)))<=>(?[X]:(~calm(X))))&
((?[X]:((funny(X)<~>~humble(X))))<=>(?[X]:((wise(X)|~humble(X)))))&
(((~strong(alice)&tall(alice)))<=>(~calm(alice)))&
((?[X]:(~strong(X)))<=>(?[X]:((~kind(X)<~>~quiet(X)))))&
... | generous(alice) | [] | null | 0 |
If someone is either not rich or not happy then someone is not generous and vice versa.
If someone is not humble or happy then someone is not old or not calm and vice versa.
Everyone who is not rich is not kind.
Everyone who is not generous or not calm is both not strong and not rich and vice versa.
Everyone who is eit... | Fred is rich. | contradiction | ((?[X]:((~rich(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~rich(X)=>~kind(X)))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(happy(X)&~humble(X))))&
((quiet(paul))<=>(?[X]:((brave(X)|happy(X)))))&
(![... | rich(fred) | [
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1374465220876539042470444
% SZS output start Proof for 1374465220876539042470444
7. ! [X0] : ((~funny(X0) | funny(X0)) <=> (curious(X0) & tall(X0))) [input p6]
13. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (curious(X0) | strong(X0))) [input p12]
15. ! [X0] : ((funny(X0) | rich(X0)) <=> (s... | 0 |
Everyone who is rich is both not calm and not strong and vice versa.
Everyone who is brave or not quiet is either calm or not strong and vice versa.
If someone is either brave or not generous then john is both not tall and not humble.
If someone is both old and not brave then someone is not humble.
Everyone who is eith... | John is not tall. | contradiction | (![X]:(rich(X)<=>(~calm(X)&~strong(X))))&
(![X]:((brave(X)|~quiet(X))<=>(calm(X)<~>~strong(X))))&
((?[X]:((brave(X)<~>~generous(X))))=>((~tall(john)&~humble(john))))&
((?[X]:((old(X)&~brave(X))))=>(?[X]:(~humble(X))))&
(![X]:((kind(X)<~>~calm(X))<=>(tall(X)&~old(X))))&
(![X]:(~rich(X)<=>happy(X)))&
((~creative(fred))<=... | ~tall(john) | [
"p1",
"p4",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 801275923883838737989010
% SZS output start Proof for 801275923883838737989010
2. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (calm(X0) <~> ~strong(X0))) [input p1]
5. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (~old(X0) & tall(X0))) [input p4]
9. ! [X0] : ((strong(X0) <~> brave(X0)) <=> (~funny(X... | 0 |
Everyone who is patient or not humble is either generous or not calm.
If someone is either not creative or quiet then alice is either quiet or not kind and vice versa.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone w... | John is wise. | entailment | (![X]:((patient(X)|~humble(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((quiet(alice)<~>~kind(alice))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<... | wise(john) | [
"p0",
"p2",
"p7",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3016358537267684585630087
% SZS output start Proof for 3016358537267684585630087
1. ! [X0] : ((~humble(X0) | patient(X0)) => (generous(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
8. ! [X0] : ((happy(X0) | creative(X0)) => (~... | 0 |
If paul is both not rich and strong then lucy is either not tall or not patient.
Everyone who is kind is funny or generous.
If susan is either old or not tall then someone is either not generous or not quiet and vice versa.
Everyone who is happy or not funny is either not tall or tall and vice versa.
Everyone who is hu... | Fred is not brave. | contradiction | (((~rich(paul)&strong(paul)))=>((~tall(lucy)<~>~patient(lucy))))&
(![X]:(kind(X)=>(funny(X)|generous(X))))&
(((old(susan)<~>~tall(susan)))<=>(?[X]:((~generous(X)<~>~quiet(X)))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)<~>tall(X))))&
(![X]:((humble(X)|funny(X))<=>(old(X)<~>kind(X))))&
(((funny(fred)&~brave(fred)))<=>(?[... | ~brave(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2905872167129363359844308
% SZS output start Proof for 2905872167129363359844308
7. ! [X0] : (~tall(X0) <=> (brave(X0) <~> calm(X0))) [input p6]
12. ! [X0] : (tall(X0) <=> calm(X0)) [input p11]
25. ~brave(fred) [input hypothesis]
54. ! [X0] : ((~tall(X0) | ((brave(X0) | ~calm(X0)) & (calm... | 0 |
Everyone who is not calm or generous is calm or generous and vice versa.
If someone is not patient or patient then paul is brave or old.
Everyone who is either not strong or not old is not calm and vice versa.
Everyone who is both not calm and not patient is patient.
If someone is both generous and not funny then someo... | Alice is tall. | contradiction | (![X]:((~calm(X)|generous(X))<=>(calm(X)|generous(X))))&
((?[X]:((~patient(X)|patient(X))))=>((brave(paul)|old(paul))))&
(![X]:((~strong(X)<~>~old(X))<=>~calm(X)))&
(![X]:((~calm(X)&~patient(X))=>patient(X)))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(generous(X))))&
(((strong(mary)<~>~creative(mary)))=>(?[X]:((~calm(... | tall(alice) | [
"p0",
"p6",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8730007807382311935887065
% SZS output start Proof for 8730007807382311935887065
1. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (generous(X0) | calm(X0))) [input p0]
7. (~tall(alice) | ~generous(alice)) <=> ? [X0] : (calm(X0) & ~curious(X0)) [input p6]
13. ! [X0] : (creative(X0) <=> wise(X0)... | 0 |
Everyone who is either happy or calm is calm or not wise.
Everyone who is not humble is rich or quiet.
If fred is calm then john is both not calm and not old.
If paul is creative or curious then someone is both not tall and strong and vice versa.
Everyone who is not strong is not tall or not patient and vice versa.
Eve... | Fred is not calm. | entailment | (![X]:((happy(X)<~>calm(X))=>(calm(X)|~wise(X))))&
(![X]:(~humble(X)=>(rich(X)|quiet(X))))&
((calm(fred))=>((~calm(john)&~old(john))))&
(((creative(paul)|curious(paul)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)|~patient(X))))&
(![X]:((~strong(X)|strong(X))<=>(~tall(X)&~funny(X))))&
(![X]:((quiet(... | ~calm(fred) | [
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1664970285991380362353892
% SZS output start Proof for 1664970285991380362353892
5. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~tall(X0))) [input p4]
6. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (~funny(X0) & ~tall(X0))) [input p5]
10. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (~calm(X0) <~> ... | 0 |
If someone is not calm then lucy is both tall and old. If paul is kind or old then someone is happy or generous. Everyone who is not happy or humble is not wise or funny and vice versa. Everyone who is either not old or kind is either not calm or generous and vice versa. If fred is both not quiet and rich then mary is ... | Fred is not creative. | neutral | ((?[X]:(~calm(X)))=>((tall(lucy)&old(lucy))))&
(((kind(paul)|old(paul)))=>(?[X]:((happy(X)|generous(X)))))&
(![X]:((~happy(X)|humble(X))<=>(~wise(X)|funny(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~calm(X)<~>generous(X))))&
(((~quiet(fred)&rich(fred)))=>((tall(mary)&creative(mary))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:(... | ~creative(fred) | [] | null | 0 |
Everyone who is both quiet and not wise is not rich and vice versa.
Everyone who is both funny and not humble is both not creative and not brave and vice versa.
Everyone who is either not kind or generous is not generous and vice versa.
If lucy is either calm or not humble then lucy is not calm and vice versa.
If someo... | John is not kind. | entailment | (![X]:((quiet(X)&~wise(X))<=>~rich(X)))&
(![X]:((funny(X)&~humble(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~kind(X)<~>generous(X))<=>~generous(X)))&
(((calm(lucy)<~>~humble(lucy)))<=>(~calm(lucy)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((happy(X)|old(X)))))&
(![X]:(old(X)=>(~happy(X)<~>~patient(X))))&
(![X]:(~old(... | ~kind(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3891809730636320628951011
% SZS output start Proof for 3891809730636320628951011
3. ! [X0] : ((~kind(X0) <~> generous(X0)) <=> ~generous(X0)) [input p2]
22. kind(john) [input hypothesis]
38. ! [X0] : ((((~generous(X0) | kind(X0)) & (generous(X0) | ~kind(X0))) | generous(X0)) & (~generous(... | 0 |
Everyone who is both kind and not quiet is old or happy and vice versa.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not cu... | Susan is not tall. | neutral | (![X]:((kind(X)&~quiet(X))<=>(old(X)|happy(X))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((r... | ~tall(susan) | [] | null | 0 |
Everyone who is both curious and not quiet is humble and vice versa. Everyone who is old is either curious or not happy and vice versa. Everyone who is not wise is either strong or brave and vice versa. If susan is not old or not tall then john is both not happy and not humble. Everyone who is not happy is either quiet... | Paul is not generous. | contradiction | (![X]:((curious(X)&~quiet(X))<=>humble(X)))&
(![X]:(old(X)<=>(curious(X)<~>~happy(X))))&
(![X]:(~wise(X)<=>(strong(X)<~>brave(X))))&
(((~old(susan)|~tall(susan)))=>((~happy(john)&~humble(john))))&
(![X]:(~happy(X)=>(quiet(X)<~>generous(X))))&
(![X]:((creative(X)|~tall(X))<=>(~funny(X)&~happy(X))))&
(((humble(paul)&~tal... | ~generous(paul) | [
"p0",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7020495532812836383238880
% SZS output start Proof for 7020495532812836383238880
1. ! [X0] : ((~quiet(X0) & curious(X0)) <=> humble(X0)) [input p0]
6. ! [X0] : ((~tall(X0) | creative(X0)) <=> (~happy(X0) & ~funny(X0))) [input p5]
7. (~tall(paul) & humble(paul)) <=> ? [X0] : (~generous(X0)... | 0 |
Everyone who is not creative or not kind is both not kind and not curious and vice versa. If someone is wise or not creative then fred is either generous or humble and vice versa. Everyone who is brave is both not happy and not old and vice versa. Everyone who is not tall or quiet is not quiet or humble. If someone is ... | Alice is not wise. | entailment | (![X]:((~creative(X)|~kind(X))<=>(~kind(X)&~curious(X))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall(X)|quiet(X))=>(~quiet(X)|humble(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(kind(X)|~quiet(X))))&
(![X]:((~g... | ~wise(alice) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4025733517068063883810188
% SZS output start Proof for 4025733517068063883810188
7. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (creative(X0) & ~strong(X0))) [input p6]
12. (rich(alice) | wise(alice)) => ~creative(mary) [input p11]
25. wise(alice) [input hypothesis]
37. ~creative(mary) |... | 0 |
Everyone who is either strong or not calm is strong or not creative and vice versa.
Everyone who is either not brave or brave is both not happy and not tall and vice versa.
If alice is either not generous or not curious then someone is not quiet or not old and vice versa.
Everyone who is not quiet or strong is not calm... | Fred is not old. | neutral | (![X]:((strong(X)<~>~calm(X))<=>(strong(X)|~creative(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(~happy(X)&~tall(X))))&
(((~generous(alice)<~>~curious(alice)))<=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:((~quiet(X)|strong(X))=>(~calm(X)|calm(X))))&
((?[X]:((humble(X)|~creative(X))))<=>(rich(lucy)))&
((?[X]:((~funny(X)&patient(... | ~old(fred) | [] | null | 0 |
Everyone who is quiet or generous is both tall and creative.
Everyone who is not old or not curious is not quiet.
If someone is not brave then alice is patient and vice versa.
Everyone who is either not tall or quiet is not kind or kind and vice versa.
Everyone who is not curious is not happy or quiet.
If someone is no... | Alice is not humble. | contradiction | (![X]:((quiet(X)|generous(X))=>(tall(X)&creative(X))))&
(![X]:((~old(X)|~curious(X))=>~quiet(X)))&
((?[X]:(~brave(X)))<=>(patient(alice)))&
(![X]:((~tall(X)<~>quiet(X))<=>(~kind(X)|kind(X))))&
(![X]:(~curious(X)=>(~happy(X)|quiet(X))))&
((?[X]:(~tall(X)))<=>(rich(alice)))&
((?[X]:((wise(X)&creative(X))))<=>(?[X]:((~bra... | ~humble(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2420344200364925428544804
% SZS output start Proof for 2420344200364925428544804
17. humble(alice) [input p16]
24. ~humble(alice) [input hypothesis]
125. humble(alice) [cnf transformation 17]
136. ~humble(alice) [cnf transformation 24]
297. $false [subsumption resolution 136,125]
% SZS ou... | 0 |
If someone is old then mary is either not kind or not curious. Everyone who is tall is calm and vice versa. Everyone who is funny is either kind or humble and vice versa. Everyone who is wise is both happy and old. If someone is both not creative and not generous then someone is both not tall and strong. Everyone who i... | Mary is not calm. | neutral | ((?[X]:(old(X)))=>((~kind(mary)<~>~curious(mary))))&
(![X]:(tall(X)<=>calm(X)))&
(![X]:(funny(X)<=>(kind(X)<~>humble(X))))&
(![X]:(wise(X)=>(happy(X)&old(X))))&
((?[X]:((~creative(X)&~generous(X))))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X)... | ~calm(mary) | [] | null | 0 |
If someone is not quiet then alice is humble and vice versa.
Everyone who is both not funny and not rich is either not happy or not rich.
Everyone who is not rich or patient is both happy and not funny and vice versa.
Everyone who is brave is quiet or kind and vice versa.
Everyone who is happy or not brave is both not ... | Paul is quiet. | entailment | ((?[X]:(~quiet(X)))<=>(humble(alice)))&
(![X]:((~funny(X)&~rich(X))=>(~happy(X)<~>~rich(X))))&
(![X]:((~rich(X)|patient(X))<=>(happy(X)&~funny(X))))&
(![X]:(brave(X)<=>(quiet(X)|kind(X))))&
(![X]:((happy(X)|~brave(X))=>(~happy(X)&~strong(X))))&
(![X]:(humble(X)=>(tall(X)&funny(X))))&
(![X]:((~quiet(X)<~>~creative(X))=>... | quiet(paul) | [
"p0",
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5600438061648339129840291
% SZS output start Proof for 5600438061648339129840291
1. ? [X0] : ~quiet(X0) <=> humble(alice) [input p0]
5. ! [X0] : ((~brave(X0) | happy(X0)) => (~strong(X0) & ~happy(X0))) [input p4]
6. ! [X0] : (humble(X0) => (funny(X0) & tall(X0))) [input p5]
11. ! [X0] : (... | 0 |
If someone is not rich then someone is rich.
Everyone who is not happy is both quiet and tall and vice versa.
Everyone who is not wise or generous is not rich and vice versa.
Everyone who is patient is not tall.
If john is either not old or wise then mary is calm or curious and vice versa.
Everyone who is calm or rich ... | Fred is calm. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:(rich(X))))&
(![X]:(~happy(X)<=>(quiet(X)&tall(X))))&
(![X]:((~wise(X)|generous(X))<=>~rich(X)))&
(![X]:(patient(X)=>~tall(X)))&
(((~old(john)<~>wise(john)))<=>((calm(mary)|curious(mary))))&
(![X]:((calm(X)|rich(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((quiet(X)|~curious(X))=>(~humble(X)|~brave(X)... | calm(fred) | [
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1278958375765345049480252
% SZS output start Proof for 1278958375765345049480252
6. ! [X0] : ((rich(X0) | calm(X0)) => (~tall(X0) <~> ~calm(X0))) [input p5]
24. ~quiet(fred) & tall(fred) [input p23]
25. calm(fred) [input hypothesis]
30. tall(fred) [pure predicate removal 24]
33. ! [X0] : ... | 0 |
Everyone who is either not creative or not generous is not happy. Everyone who is not tall or not generous is both not old and not patient. Everyone who is rich or creative is old or not patient and vice versa. Everyone who is either not old or kind is not creative or not humble and vice versa. If someone is not strong... | John is not old. | entailment | (![X]:((~creative(X)<~>~generous(X))=>~happy(X)))&
(![X]:((~tall(X)|~generous(X))=>(~old(X)&~patient(X))))&
(![X]:((rich(X)|creative(X))<=>(old(X)|~patient(X))))&
(![X]:((~old(X)<~>kind(X))<=>(~creative(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>funny(X))))<=>(?[X]:((... | ~old(john) | [
"p3",
"p8",
"p9",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1900440083253168431686668
% SZS output start Proof for 1900440083253168431686668
4. ! [X0] : ((~old(X0) <~> kind(X0)) <=> (~humble(X0) | ~creative(X0))) [input p3]
9. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (brave(X0) | humble(X0))) [input p8]
10. ! [X0] : (calm(X0) <=> brave(X0)) [input... | 0 |
If someone is both generous and quiet then susan is not curious or brave.
Everyone who is not kind is both tall and not strong and vice versa.
Everyone who is both not creative and brave is either calm or not tall.
Everyone who is not creative or not quiet is not kind or curious and vice versa.
If susan is brave or cur... | Mary is not rich. | neutral | ((?[X]:((generous(X)&quiet(X))))=>((~curious(susan)|brave(susan))))&
(![X]:(~kind(X)<=>(tall(X)&~strong(X))))&
(![X]:((~creative(X)&brave(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~kind(X)|curious(X))))&
(((brave(susan)|curious(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(patient(X)=>(~humble(X)&~curious... | ~rich(mary) | [] | null | 0 |
If someone is either calm or curious then someone is either old or humble and vice versa.
Everyone who is old is either kind or calm and vice versa.
Everyone who is not old or generous is either not generous or not strong.
If someone is not creative or not quiet then lucy is both not patient and not generous and vice v... | Susan is humble. | neutral | ((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:((old(X)<~>humble(X)))))&
(![X]:(old(X)<=>(kind(X)<~>calm(X))))&
(![X]:((~old(X)|generous(X))=>(~generous(X)<~>~strong(X))))&
((?[X]:((~creative(X)|~quiet(X))))<=>((~patient(lucy)&~generous(lucy))))&
(![X]:(~calm(X)<=>(~humble(X)|old(X))))&
(![X]:((kind(X)&creative(X))<=>(~tall(... | humble(susan) | [] | null | 0 |
If someone is both not kind and not happy then someone is not old and vice versa.
If someone is brave or humble then someone is either not humble or curious.
Everyone who is either tall or humble is either funny or generous.
Everyone who is both generous and not creative is rich and vice versa.
Everyone who is not happ... | Alice is not creative. | contradiction | ((?[X]:((~kind(X)&~happy(X))))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)|humble(X))))=>(?[X]:((~humble(X)<~>curious(X)))))&
(![X]:((tall(X)<~>humble(X))=>(funny(X)<~>generous(X))))&
(![X]:((generous(X)&~creative(X))<=>rich(X)))&
(![X]:(~happy(X)=>(rich(X)<~>wise(X))))&
(![X]:((~rich(X)&~old(X))=>(generous(X)&~patient(X)))... | ~creative(alice) | [
"p8",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1777563949485183116792109
% SZS output start Proof for 1777563949485183116792109
9. ! [X0] : (~patient(X0) <=> ~curious(X0)) [input p8]
11. ! [X0] : (happy(X0) => patient(X0)) [input p10]
13. ! [X0] : ((~creative(X0) <~> ~strong(X0)) => (~curious(X0) | ~patient(X0))) [input p12]
14. ? [X0... | 0 |
If john is both kind and not funny then someone is not creative. Everyone who is either not happy or not quiet is both tall and not creative. Everyone who is quiet is not rich or not calm. If john is either strong or generous then someone is either not brave or not humble and vice versa. Everyone who is not tall is bot... | Susan is not patient. | neutral | (((kind(john)&~funny(john)))=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)<~>~quiet(X))=>(tall(X)&~creative(X))))&
(![X]:(quiet(X)=>(~rich(X)|~calm(X))))&
(((strong(john)<~>generous(john)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:(~tall(X)=>(~curious(X)&~strong(X))))&
(![X]:((rich(X)<~>wise(X))=>(~quiet(X)&~humble(X))... | ~patient(susan) | [] | null | 0 |
Everyone who is old or not generous is both wise and creative and vice versa. Everyone who is both patient and not funny is either not rich or old. If someone is either curious or not kind then alice is humble or not quiet and vice versa. If someone is both not patient and not funny then someone is both brave and not t... | Susan is not old. | entailment | (![X]:((old(X)|~generous(X))<=>(wise(X)&creative(X))))&
(![X]:((patient(X)&~funny(X))=>(~rich(X)<~>old(X))))&
((?[X]:((curious(X)<~>~kind(X))))<=>((humble(alice)|~quiet(alice))))&
((?[X]:((~patient(X)&~funny(X))))<=>(?[X]:((brave(X)&~tall(X)))))&
(![X]:(rich(X)=>happy(X)))&
((?[X]:((~kind(X)|~funny(X))))<=>(~quiet(paul... | ~old(susan) | [
"p0",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8693455599317534023330209
% SZS output start Proof for 8693455599317534023330209
1. ! [X0] : ((~generous(X0) | old(X0)) <=> (creative(X0) & wise(X0))) [input p0]
8. ! [X0] : (~strong(X0) <=> (~old(X0) & wise(X0))) [input p7]
21. creative(susan) <~> strong(susan) [input p20]
25. old(susan)... | 0 |
If john is happy or not kind then someone is not brave.
If someone is not wise or not kind then alice is either not tall or not generous and vice versa.
Everyone who is quiet or brave is strong or wise and vice versa.
If someone is either generous or not funny then someone is either not generous or not happy.
Everyone ... | John is wise. | neutral | (((happy(john)|~kind(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~wise(X)|~kind(X))))<=>((~tall(alice)<~>~generous(alice))))&
(![X]:((quiet(X)|brave(X))<=>(strong(X)|wise(X))))&
((?[X]:((generous(X)<~>~funny(X))))=>(?[X]:((~generous(X)<~>~happy(X)))))&
(![X]:(~calm(X)<=>(~generous(X)|rich(X))))&
(![X]:(~rich(X)=>(strong(X)&... | wise(john) | [] | null | 0 |
Everyone who is patient is not kind or kind.
Everyone who is tall or not creative is not strong.
If someone is not brave or not tall then someone is calm and vice versa.
Everyone who is quiet or happy is calm.
Everyone who is calm or curious is not brave or not old and vice versa.
Everyone who is generous or not happy ... | Alice is tall. | entailment | (![X]:(patient(X)=>(~kind(X)|kind(X))))&
(![X]:((tall(X)|~creative(X))=>~strong(X)))&
((?[X]:((~brave(X)|~tall(X))))<=>(?[X]:(calm(X))))&
(![X]:((quiet(X)|happy(X))=>calm(X)))&
(![X]:((calm(X)|curious(X))<=>(~brave(X)|~old(X))))&
(![X]:((generous(X)|~happy(X))<=>happy(X)))&
(![X]:((~curious(X)&~brave(X))<=>(~old(X)|bra... | tall(alice) | [
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 618617788428251586924435
% SZS output start Proof for 618617788428251586924435
7. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (brave(X0) | ~old(X0))) [input p6]
9. ! [X0] : (old(X0) => (curious(X0) & ~curious(X0))) [input p8]
14. ! [X0] : (brave(X0) <=> (tall(X0) <~> ~old(X0))) [input p13]
... | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If lucy is either not creative or not calm then mary is tall or not old.
Everyone who is not quiet is not patient or brave.
Everyone who is not kind is either calm or creative.
If someone is not tall or curious then fred is patient or strong and vic... | Lucy is curious. | neutral | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
(((~creative(lucy)<~>~calm(lucy)))=>((tall(mary)|~old(mary))))&
(![X]:(~quiet(X)=>(~patient(X)|brave(X))))&
(![X]:(~kind(X)=>(calm(X)<~>creative(X))))&
((?[X]:((~tall(X)|curious(X))))<=>((patient(fred)|strong(fred))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~quiet(X)|humble(X))))... | curious(lucy) | [] | null | 0 |
Everyone who is brave is both kind and patient.
Everyone who is either brave or funny is kind or patient and vice versa.
Everyone who is kind or brave is both patient and not brave.
If someone is both patient and not calm then mary is both not generous and not kind.
Everyone who is either not funny or not wise is eithe... | John is not rich. | entailment | (![X]:(brave(X)=>(kind(X)&patient(X))))&
(![X]:((brave(X)<~>funny(X))<=>(kind(X)|patient(X))))&
(![X]:((kind(X)|brave(X))=>(patient(X)&~brave(X))))&
((?[X]:((patient(X)&~calm(X))))=>((~generous(mary)&~kind(mary))))&
(![X]:((~funny(X)<~>~wise(X))=>(~patient(X)<~>brave(X))))&
(![X]:((curious(X)&~old(X))<=>(~quiet(X)<~>br... | ~rich(john) | [
"p1",
"p2",
"p4",
"p7",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4810480303264559548431411
% SZS output start Proof for 4810480303264559548431411
2. ! [X0] : ((brave(X0) <~> funny(X0)) <=> (patient(X0) | kind(X0))) [input p1]
3. ! [X0] : ((brave(X0) | kind(X0)) => (~brave(X0) & patient(X0))) [input p2]
5. ! [X0] : ((~funny(X0) <~> ~wise(X0)) => (~patie... | 0 |
If someone is not happy then susan is both not strong and rich.
If someone is not calm or curious then someone is creative and vice versa.
If paul is either not calm or strong then someone is both calm and not brave and vice versa.
Everyone who is not brave or curious is not wise.
If alice is generous then someone is r... | Susan is not creative. | neutral | ((?[X]:(~happy(X)))=>((~strong(susan)&rich(susan))))&
((?[X]:((~calm(X)|curious(X))))<=>(?[X]:(creative(X))))&
(((~calm(paul)<~>strong(paul)))<=>(?[X]:((calm(X)&~brave(X)))))&
(![X]:((~brave(X)|curious(X))=>~wise(X)))&
((generous(alice))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:(tall(X)))=>((funny(susan)<~>~kind(susan))... | ~creative(susan) | [] | null | 0 |
Everyone who is not tall is not curious and vice versa. Everyone who is funny or kind is tall and vice versa. Everyone who is not calm or not happy is both not wise and happy and vice versa. Everyone who is both tall and not curious is either not wise or rich. Everyone who is funny or not rich is either funny or not ta... | Alice is not funny. | entailment | (![X]:(~tall(X)<=>~curious(X)))&
(![X]:((funny(X)|kind(X))<=>tall(X)))&
(![X]:((~calm(X)|~happy(X))<=>(~wise(X)&happy(X))))&
(![X]:((tall(X)&~curious(X))=>(~wise(X)<~>rich(X))))&
(![X]:((funny(X)|~rich(X))<=>(funny(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>rich(X))=>humble(X)))&
((?[X]:(funny(X)))=>(?[X]:((~brave(X)|~humble... | ~funny(alice) | [
"p0",
"p1",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1699985601229682348939270
% SZS output start Proof for 1699985601229682348939270
1. ! [X0] : (~tall(X0) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((kind(X0) | funny(X0)) <=> tall(X0)) [input p1]
10. ! [X0] : ((~patient(X0) | curious(X0)) => (funny(X0) & ~quiet(X0))) [input p9]
17. quiet(al... | 0 |
If someone is both not kind and not funny then alice is either not funny or not rich. If fred is curious then someone is creative or not happy and vice versa. If someone is either not patient or curious then someone is not humble. Everyone who is either generous or brave is wise and vice versa. If susan is both not hap... | Paul is humble. | contradiction | ((?[X]:((~kind(X)&~funny(X))))=>((~funny(alice)<~>~rich(alice))))&
((curious(fred))<=>(?[X]:((creative(X)|~happy(X)))))&
((?[X]:((~patient(X)<~>curious(X))))=>(?[X]:(~humble(X))))&
(![X]:((generous(X)<~>brave(X))<=>wise(X)))&
(((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X)... | humble(paul) | [
"p5",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2306504456115295443440693
% SZS output start Proof for 2306504456115295443440693
6. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> (tall(X0) | humble(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~rich(X0)) => ~kind(X0)) [input p7]
12. ! [X0] : (calm(X0) => kind(X0)) [input p11]
16. ! [X0] : (hap... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is wise then lucy is both creative and happy and vice versa.
Everyone who is either strong or happy is b... | Lucy is wise. | contradiction | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(wise(X)))<=>((creative(lucy)&happy(lucy))))&
(![X]:((strong(X)<~>happy(X))=>(quiet(X)&~quiet(X))))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((fu... | wise(lucy) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2574104574999635051860134
% SZS output start Proof for 2574104574999635051860134
4. ? [X0] : wise(X0) <=> (happy(lucy) & creative(lucy)) [input p3]
5. ! [X0] : ((strong(X0) <~> happy(X0)) => (~quiet(X0) & quiet(X0))) [input p4]
8. ! [X0] : (strong(X0) => (creative(X0) & ~wise(X0))) [input... | 0 |
Everyone who is kind or generous is not funny or not kind.
Everyone who is patient or brave is quiet or curious.
Everyone who is not curious is generous or not generous and vice versa.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy is ... | Paul is not funny. | entailment | (![X]:((kind(X)|generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))))&
... | ~funny(paul) | [
"p4",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1923254869231754252419795
% SZS output start Proof for 1923254869231754252419795
5. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((tall(X0) & ~creative(X0)) => (happy(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~creative(X0) | kind(X0)) => (~tall(X0) & ta... | 0 |
Everyone who is both not creative and creative is happy or generous. If alice is not brave or not tall then someone is both not generous and not creative and vice versa. If john is not humble or old then alice is not creative or wise and vice versa. If john is rich or not creative then susan is generous or funny. Every... | Paul is wise. | neutral | (![X]:((~creative(X)&creative(X))=>(happy(X)|generous(X))))&
(((~brave(alice)|~tall(alice)))<=>(?[X]:((~generous(X)&~creative(X)))))&
(((~humble(john)|old(john)))<=>((~creative(alice)|wise(alice))))&
(((rich(john)|~creative(john)))=>((generous(susan)|funny(susan))))&
(![X]:(~old(X)=>~curious(X)))&
((?[X]:((~funny(X)&~h... | wise(paul) | [] | null | 0 |
If lucy is both curious and not generous then someone is not old.
Everyone who is both curious and not happy is not funny.
If lucy is both kind and funny then someone is not calm or not old and vice versa.
If lucy is tall then someone is not strong and vice versa.
If someone is not old then fred is both wise and curiou... | Fred is not old. | contradiction | (((curious(lucy)&~generous(lucy)))=>(?[X]:(~old(X))))&
(![X]:((curious(X)&~happy(X))=>~funny(X)))&
(((kind(lucy)&funny(lucy)))<=>(?[X]:((~calm(X)|~old(X)))))&
((tall(lucy))<=>(?[X]:(~strong(X))))&
((?[X]:(~old(X)))<=>((wise(fred)&curious(fred))))&
(((old(alice)|wise(alice)))<=>(~rich(mary)))&
((?[X]:((funny(X)&kind(X))... | ~old(fred) | [
"p2",
"p3",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3396890313866618127214965
% SZS output start Proof for 3396890313866618127214965
3. (funny(lucy) & kind(lucy)) <=> ? [X0] : (~old(X0) | ~calm(X0)) [input p2]
4. tall(lucy) <=> ? [X0] : ~strong(X0) [input p3]
8. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (strong(X0) | rich(X0))) [input p7]
13... | 0 |
Everyone who is both not kind and wise is either not curious or wise.
Everyone who is either wise or humble is not wise and vice versa.
If someone is happy then someone is not rich and vice versa.
If lucy is strong then mary is either not rich or kind.
Everyone who is either kind or strong is happy or curious and vice ... | Susan is brave. | contradiction | (![X]:((~kind(X)&wise(X))=>(~curious(X)<~>wise(X))))&
(![X]:((wise(X)<~>humble(X))<=>~wise(X)))&
((?[X]:(happy(X)))<=>(?[X]:(~rich(X))))&
((strong(lucy))=>((~rich(mary)<~>kind(mary))))&
(![X]:((kind(X)<~>strong(X))<=>(happy(X)|curious(X))))&
(((old(fred)&~rich(fred)))=>(~humble(john)))&
(![X]:(~calm(X)=>(calm(X)&~gener... | brave(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8607712722165257606271280
% SZS output start Proof for 8607712722165257606271280
17. ~brave(susan) & ~funny(susan) [input p16]
25. brave(susan) [input hypothesis]
127. ~brave(susan) [cnf transformation 17]
140. brave(susan) [cnf transformation 25]
286. $false [subsumption resolution 140,1... | 0 |
If lucy is not old or old then john is tall and vice versa. Everyone who is both not old and not patient is either quiet or not old. If someone is not funny or old then someone is either curious or rich. If alice is both old and rich then lucy is not rich and vice versa. Everyone who is both not patient and not rich is... | Paul is not funny. | contradiction | (((~old(lucy)|old(lucy)))<=>(tall(john)))&
(![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))... | ~funny(paul) | [
"p6",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2214785743912754141773467
% SZS output start Proof for 2214785743912754141773467
7. (~old(paul) <~> ~rich(paul)) <=> ~creative(paul) [input p6]
9. ! [X0] : (~calm(X0) <=> happy(X0)) [input p8]
10. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (quiet(X0) & ~funny(X0))) [input p9]
11. ! [X0] : ... | 0 |
If someone is patient or not patient then someone is both quiet and wise.
If someone is either creative or not creative then alice is not patient and vice versa.
If someone is creative or brave then lucy is either not rich or patient.
Everyone who is not humble is both wise and patient.
If susan is not calm then someon... | Susan is patient. | contradiction | ((?[X]:((patient(X)|~patient(X))))=>(?[X]:((quiet(X)&wise(X)))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(~patient(alice)))&
((?[X]:((creative(X)|brave(X))))=>((~rich(lucy)<~>patient(lucy))))&
(![X]:(~humble(X)=>(wise(X)&patient(X))))&
((~calm(susan))<=>(?[X]:(~quiet(X))))&
(![X]:(~curious(X)<=>(~funny(X)|generous(X)... | patient(susan) | [
"p4",
"p5",
"p8",
"p14",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6110002878327974129800484
% SZS output start Proof for 6110002878327974129800484
5. ~calm(susan) <=> ? [X0] : ~quiet(X0) [input p4]
6. ! [X0] : (~curious(X0) <=> (generous(X0) | ~funny(X0))) [input p5]
9. ? [X0] : (calm(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & creative(X0)) [input p... | 0 |
If lucy is quiet then someone is both quiet and tall and vice versa.
If someone is both not patient and brave then someone is not creative or not funny and vice versa.
Everyone who is either brave or happy is kind.
If paul is both not strong and curious then someone is curious or calm and vice versa.
If someone is happ... | Lucy is kind. | entailment | ((quiet(lucy))<=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((brave(X)<~>happy(X))=>kind(X)))&
(((~strong(paul)&curious(paul)))<=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:(happy(X)))<=>((~tall(susan)<~>funny(susan))))&
((?[X]:(~kind(X)))=>(?[X]:(~rich(X))))&... | kind(lucy) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8323721303821303157184579
% SZS output start Proof for 8323721303821303157184579
3. ! [X0] : ((brave(X0) <~> happy(X0)) => kind(X0)) [input p2]
8. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> creative(X0)) [input p7]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) => (~funny(X0) <~> ~quiet(X0))) [input ... | 0 |
If lucy is strong then alice is either not old or not calm.
If john is both not old and humble then someone is either not brave or creative.
Everyone who is not generous or generous is both creative and rich.
Everyone who is both not quiet and happy is either brave or calm and vice versa.
If alice is generous or calm t... | Mary is not old. | neutral | ((strong(lucy))=>((~old(alice)<~>~calm(alice))))&
(((~old(john)&humble(john)))=>(?[X]:((~brave(X)<~>creative(X)))))&
(![X]:((~generous(X)|generous(X))=>(creative(X)&rich(X))))&
(![X]:((~quiet(X)&happy(X))<=>(brave(X)<~>calm(X))))&
(((generous(alice)|calm(alice)))=>(?[X]:(tall(X))))&
(![X]:((funny(X)|~rich(X))=>(creativ... | ~old(mary) | [] | null | 0 |
If john is not creative then john is kind.
Everyone who is happy or generous is both not brave and not old.
Everyone who is not strong or not happy is both not tall and not old and vice versa.
If someone is creative or not kind then someone is either not patient or funny.
If mary is not strong then susan is not wise or... | John is curious. | neutral | ((~creative(john))=>(kind(john)))&
(![X]:((happy(X)|generous(X))=>(~brave(X)&~old(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~tall(X)&~old(X))))&
((?[X]:((creative(X)|~kind(X))))=>(?[X]:((~patient(X)<~>funny(X)))))&
((~strong(mary))<=>((~wise(susan)|~strong(susan))))&
((?[X]:((patient(X)<~>creative(X))))<=>(?[X]:(~happy(X... | curious(john) | [] | null | 0 |
Everyone who is either quiet or calm is both funny and not kind and vice versa.
Everyone who is either quiet or not creative is either not humble or not wise and vice versa.
If paul is brave or curious then someone is not tall or not funny and vice versa.
If susan is tall then someone is either kind or not happy and vi... | Paul is not rich. | contradiction | (![X]:((quiet(X)<~>calm(X))<=>(funny(X)&~kind(X))))&
(![X]:((quiet(X)<~>~creative(X))<=>(~humble(X)<~>~wise(X))))&
(((brave(paul)|curious(paul)))<=>(?[X]:((~tall(X)|~funny(X)))))&
((tall(susan))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((~old(X)|~funny(X))<=>(funny(X)|~old(X))))&
(![X]:((rich(X)<~>~old(X))=>~curious(X)... | ~rich(paul) | [
"p4",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2721312099720644818863634
% SZS output start Proof for 2721312099720644818863634
5. ! [X0] : ((~funny(X0) | ~old(X0)) <=> (~old(X0) | funny(X0))) [input p4]
10. ? [X0] : (old(X0) <~> ~rich(X0)) <=> quiet(fred) [input p9]
21. ~patient(fred) & ~quiet(fred) [input p20]
23. ~rich(paul) [input... | 0 |
If someone is not old then alice is both not calm and not brave. Everyone who is both not happy and humble is either strong or old. If someone is either not strong or not brave then fred is either old or not creative. Everyone who is both kind and not humble is either not tall or not wise. Everyone who is not brave is ... | John is brave. | neutral | ((?[X]:(~old(X)))=>((~calm(alice)&~brave(alice))))&
(![X]:((~happy(X)&humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((old(fred)<~>~creative(fred))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X... | brave(john) | [] | null | 0 |
Everyone who is either calm or strong is brave.
Everyone who is calm is either happy or not patient and vice versa.
Everyone who is either not curious or tall is happy or generous and vice versa.
Everyone who is either not quiet or not patient is either not happy or old.
Everyone who is tall is both humble and creative... | John is not patient. | entailment | (![X]:((calm(X)<~>strong(X))=>brave(X)))&
(![X]:(calm(X)<=>(happy(X)<~>~patient(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(happy(X)|generous(X))))&
(![X]:((~quiet(X)<~>~patient(X))=>(~happy(X)<~>old(X))))&
(![X]:(tall(X)<=>(humble(X)&creative(X))))&
(![X]:(wise(X)<=>(kind(X)<~>funny(X))))&
(![X]:((calm(X)|~happy(X))=>(~h... | ~patient(john) | [
"p1",
"p2",
"p4",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 822740067780814327904264
% SZS output start Proof for 822740067780814327904264
2. ! [X0] : (calm(X0) <=> (happy(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : ((~curious(X0) <~> tall(X0)) <=> (generous(X0) | happy(X0))) [input p2]
5. ! [X0] : (tall(X0) <=> (creative(X0) & humble(X0))) [inp... | 0 |
If someone is either not curious or not wise then alice is not old and vice versa.
If susan is generous then someone is not tall or rich.
Everyone who is both not patient and not creative is brave and vice versa.
Everyone who is both not funny and funny is not curious or not tall and vice versa.
If someone is creative ... | John is brave. | contradiction | ((?[X]:((~curious(X)<~>~wise(X))))<=>(~old(alice)))&
((generous(susan))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~patient(X)&~creative(X))<=>brave(X)))&
(![X]:((~funny(X)&funny(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
(((calm(lucy)&funny(lucy)))<=>((rich(ma... | brave(john) | [
"p2",
"p3",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6878801159012509457448152
% SZS output start Proof for 6878801159012509457448152
3. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> brave(X0)) [input p2]
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~tall(X0) | ~curious(X0))) [input p3]
7. ! [X0] : ((~old(X0) & ~brave(X0)) <=> (curious(X0) <~>... | 0 |
If someone is not patient then susan is funny and vice versa.
Everyone who is brave or humble is both humble and not humble and vice versa.
Everyone who is either not strong or not quiet is not calm.
Everyone who is generous is both humble and generous and vice versa.
Everyone who is either rich or not strong is either... | John is not calm. | entailment | ((?[X]:(~patient(X)))<=>(funny(susan)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X)))&
(![X]:(generous(X)<=>(humble(X)&generous(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~quiet(X)<~>~tall(X))))&
(![X]:((funny(X)<~>happy(X))=>(wise(X)&quiet(X))))&
((?[X]:((generous(X)... | ~calm(john) | [
"p1",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3341527138367342994938789
% SZS output start Proof for 3341527138367342994938789
2. ! [X0] : ((humble(X0) | brave(X0)) <=> (~humble(X0) & humble(X0))) [input p1]
4. ! [X0] : (generous(X0) <=> (generous(X0) & humble(X0))) [input p3]
10. ! [X0] : ((~happy(X0) | ~generous(X0)) <=> ~calm(X0))... | 0 |
Everyone who is funny or not quiet is not funny.
Everyone who is both not happy and brave is curious and vice versa.
Everyone who is either calm or not brave is brave and vice versa.
Everyone who is either happy or tall is either not quiet or not tall.
Everyone who is both not funny and not brave is calm and vice versa... | Alice is calm. | entailment | (![X]:((funny(X)|~quiet(X))=>~funny(X)))&
(![X]:((~happy(X)&brave(X))<=>curious(X)))&
(![X]:((calm(X)<~>~brave(X))<=>brave(X)))&
(![X]:((happy(X)<~>tall(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curi... | calm(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8012350459981347941663261
% SZS output start Proof for 8012350459981347941663261
3. ! [X0] : ((calm(X0) <~> ~brave(X0)) <=> brave(X0)) [input p2]
23. ~calm(alice) [input hypothesis]
35. ! [X0] : ((((brave(X0) | ~calm(X0)) & (~brave(X0) | calm(X0))) | ~brave(X0)) & (brave(X0) | ((calm(X0) ... | 0 |
If alice is either not happy or not curious then fred is both not patient and not wise and vice versa.
If someone is not kind then someone is either happy or not wise.
Everyone who is either not tall or not quiet is both happy and brave and vice versa.
Everyone who is tall or not calm is both not calm and old and vice ... | Alice is quiet. | contradiction | (((~happy(alice)<~>~curious(alice)))<=>((~patient(fred)&~wise(fred))))&
((?[X]:(~kind(X)))=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>(happy(X)&brave(X))))&
(![X]:((tall(X)|~calm(X))<=>(~calm(X)&old(X))))&
(![X]:((~patient(X)|happy(X))<=>kind(X)))&
(![X]:(~curious(X)=>(rich(X)|calm(X))))&
(((old(... | quiet(alice) | [
"p2",
"p3",
"p4",
"p8",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4132762366795892013815035
% SZS output start Proof for 4132762366795892013815035
3. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> (brave(X0) & happy(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | tall(X0)) <=> (old(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((happy(X0) | ~patient(X0)) <=> kind(X0)) ... | 0 |
If someone is not creative or tall then someone is not humble or not patient.
If someone is not patient or strong then someone is not creative or strong and vice versa.
If susan is not generous or wise then paul is curious.
If someone is not brave or tall then fred is wise.
Everyone who is funny or not calm is either n... | Fred is generous. | contradiction | ((?[X]:((~creative(X)|tall(X))))=>(?[X]:((~humble(X)|~patient(X)))))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~creative(X)|strong(X)))))&
(((~generous(susan)|wise(susan)))=>(curious(paul)))&
((?[X]:((~brave(X)|tall(X))))=>(wise(fred)))&
(![X]:((funny(X)|~calm(X))=>(~quiet(X)<~>funny(X))))&
(![X]:((quiet(X)|~strong(... | generous(fred) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6251068107590323579758714
% SZS output start Proof for 6251068107590323579758714
6. ! [X0] : ((~strong(X0) | quiet(X0)) => (~generous(X0) & ~quiet(X0))) [input p5]
12. ! [X0] : ((strong(X0) | ~happy(X0)) <=> (~generous(X0) & ~strong(X0))) [input p11]
19. generous(fred) [input hypothesis]
... | 0 |
Everyone who is not generous or old is patient and vice versa. If someone is not patient or strong then someone is both not quiet and not generous and vice versa. If alice is either not happy or brave then someone is either not quiet or not calm. Everyone who is both not old and tall is not happy or tall. If fred is bo... | Paul is strong. | entailment | (![X]:((~generous(X)|old(X))<=>patient(X)))&
((?[X]:((~patient(X)|strong(X))))<=>(?[X]:((~quiet(X)&~generous(X)))))&
(((~happy(alice)<~>brave(alice)))=>(?[X]:((~quiet(X)<~>~calm(X)))))&
(![X]:((~old(X)&tall(X))=>(~happy(X)|tall(X))))&
(((funny(fred)&~curious(fred)))=>(?[X]:((~strong(X)&~old(X)))))&
(![X]:((humble(X)&pa... | strong(paul) | [
"p0",
"p1",
"p6",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4463940207025863822591923
% SZS output start Proof for 4463940207025863822591923
1. ! [X0] : ((old(X0) | ~generous(X0)) <=> patient(X0)) [input p0]
2. ? [X0] : (strong(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) & ~quiet(X0)) [input p1]
7. ! [X0] : ((kind(X0) <~> ~rich(X0)) <=> (stron... | 0 |
If someone is not creative or brave then someone is both wise and happy.
Everyone who is either brave or not strong is either not old or quiet and vice versa.
Everyone who is patient is tall or not quiet and vice versa.
Everyone who is both rich and not creative is either wise or creative and vice versa.
Everyone who i... | Fred is quiet. | entailment | ((?[X]:((~creative(X)|brave(X))))=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(~old(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(tall(X)|~quiet(X))))&
(![X]:((rich(X)&~creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((old(X)|strong(X))))<=>(?[X]:((... | quiet(fred) | [
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3251295240951719643786842
% SZS output start Proof for 3251295240951719643786842
3. ! [X0] : (patient(X0) <=> (~quiet(X0) | tall(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (calm(X0) <~> funny(X0))) [input p4]
14. ! [X0] : ((funny(X0) & calm(X0)) <=> (~calm(X0) | quiet(X... | 0 |
If lucy is both curious and not generous then someone is not old.
Everyone who is both curious and not happy is not funny.
If lucy is both kind and funny then someone is not calm or not old and vice versa.
If lucy is tall then someone is not strong and vice versa.
If someone is not old then fred is both wise and curiou... | John is humble. | neutral | (((curious(lucy)&~generous(lucy)))=>(?[X]:(~old(X))))&
(![X]:((curious(X)&~happy(X))=>~funny(X)))&
(((kind(lucy)&funny(lucy)))<=>(?[X]:((~calm(X)|~old(X)))))&
((tall(lucy))<=>(?[X]:(~strong(X))))&
((?[X]:(~old(X)))<=>((wise(fred)&curious(fred))))&
(((old(alice)|wise(alice)))<=>(~rich(mary)))&
((?[X]:((funny(X)&kind(X))... | humble(john) | [] | null | 0 |
If someone is brave then someone is both not patient and creative and vice versa. Everyone who is generous is both tall and not tall and vice versa. If john is not old or creative then mary is not tall or not quiet. Everyone who is both brave and wise is both not humble and not generous and vice versa. If fred is eithe... | Susan is not generous. | entailment | ((?[X]:(brave(X)))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:(generous(X)<=>(tall(X)&~tall(X))))&
(((~old(john)|creative(john)))=>((~tall(mary)|~quiet(mary))))&
(![X]:((brave(X)&wise(X))<=>(~humble(X)&~generous(X))))&
(((rich(fred)<~>creative(fred)))<=>(?[X]:((curious(X)<~>~generous(X)))))&
(![X]:((curious(X)&wise(X... | ~generous(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8360647539390876204405676
% SZS output start Proof for 8360647539390876204405676
2. ! [X0] : (generous(X0) <=> (~tall(X0) & tall(X0))) [input p1]
25. generous(susan) [input hypothesis]
38. ! [X0] : ((generous(X0) | (tall(X0) | ~tall(X0))) & ((~tall(X0) & tall(X0)) | ~generous(X0))) [nnf t... | 0 |
If someone is either happy or not quiet then someone is both not calm and not happy.
Everyone who is either humble or not tall is both calm and creative.
Everyone who is not humble or curious is either strong or patient and vice versa.
Everyone who is not old is not wise and vice versa.
If susan is creative or generous... | Susan is patient. | neutral | ((?[X]:((happy(X)<~>~quiet(X))))=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:((humble(X)<~>~tall(X))=>(calm(X)&creative(X))))&
(![X]:((~humble(X)|curious(X))<=>(strong(X)<~>patient(X))))&
(![X]:(~old(X)<=>~wise(X)))&
(((creative(susan)|generous(susan)))<=>(old(mary)))&
(![X]:((~brave(X)|strong(X))<=>(~rich(X)|calm(X))))&
(!... | patient(susan) | [] | null | 0 |
Everyone who is not funny or not humble is either not kind or humble.
If paul is either patient or wise then susan is both creative and quiet and vice versa.
If fred is both not patient and not quiet then someone is either curious or not patient and vice versa.
Everyone who is not funny is either not kind or old.
Every... | Susan is not kind. | neutral | (![X]:((~funny(X)|~humble(X))=>(~kind(X)<~>humble(X))))&
(((patient(paul)<~>wise(paul)))<=>((creative(susan)&quiet(susan))))&
(((~patient(fred)&~quiet(fred)))<=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:(~funny(X)=>(~kind(X)<~>old(X))))&
(![X]:(strong(X)=>(~curious(X)|~calm(X))))&
(![X]:(~humble(X)=>wise(X)))&
(![X]:... | ~kind(susan) | [] | null | 0 |
If someone is not generous then paul is both wise and old.
Everyone who is both not strong and brave is creative or funny and vice versa.
Everyone who is kind or wise is both not brave and not funny.
Everyone who is both not humble and brave is happy and vice versa.
Everyone who is both brave and funny is both strong a... | Susan is not humble. | entailment | ((?[X]:(~generous(X)))=>((wise(paul)&old(paul))))&
(![X]:((~strong(X)&brave(X))<=>(creative(X)|funny(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~funny(X))))&
(![X]:((~humble(X)&brave(X))<=>happy(X)))&
(![X]:((brave(X)&funny(X))=>(strong(X)&~brave(X))))&
(![X]:((~humble(X)|strong(X))=>~old(X)))&
(((~old(paul)<~>kind(pa... | ~humble(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9026549911974846020943782
% SZS output start Proof for 9026549911974846020943782
24. ~humble(susan) [input p23]
25. humble(susan) [input hypothesis]
131. ~humble(susan) [cnf transformation 24]
132. humble(susan) [cnf transformation 25]
247. $false [subsumption resolution 132,131]
% SZS ou... | 0 |
Everyone who is tall is strong.
If alice is either brave or not calm then someone is either old or not strong and vice versa.
Everyone who is not curious or calm is not calm and vice versa.
If mary is not calm then someone is not creative.
Everyone who is either patient or old is either curious or not curious.
Everyone... | Mary is funny. | neutral | (![X]:(tall(X)=>strong(X)))&
(((brave(alice)<~>~calm(alice)))<=>(?[X]:((old(X)<~>~strong(X)))))&
(![X]:((~curious(X)|calm(X))<=>~calm(X)))&
((~calm(mary))=>(?[X]:(~creative(X))))&
(![X]:((patient(X)<~>old(X))=>(curious(X)<~>~curious(X))))&
(![X]:(happy(X)=>(wise(X)&~quiet(X))))&
(((old(mary)|curious(mary)))=>(?[X]:((ri... | funny(mary) | [] | null | 0 |
Everyone who is both not humble and happy is not wise.
Everyone who is either creative or patient is not quiet and vice versa.
Everyone who is old is both rich and not wise.
If someone is not generous or happy then someone is both old and not tall and vice versa.
If alice is both not curious and creative then someone i... | Alice is not curious. | entailment | (![X]:((~humble(X)&happy(X))=>~wise(X)))&
(![X]:((creative(X)<~>patient(X))<=>~quiet(X)))&
(![X]:(old(X)=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:((old(X)&~tall(X)))))&
(((~curious(alice)&creative(alice)))=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((~old(X)&~kind(X))<=>(~happy(X)<~>~kind(X))))&
(!... | ~curious(alice) | [
"p5",
"p7",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1981326233826816272798258
% SZS output start Proof for 1981326233826816272798258
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p5]
8. ! [X0] : ((kind(X0) & generous(X0)) <=> ~curious(X0)) [input p7]
9. ! [X0] : (~humble(X0) <=> (funny(X0) & ~wise(X0))) [input ... | 0 |
If john is either not quiet or tall then someone is not kind or not generous and vice versa. Everyone who is both tall and kind is not wise. If someone is both humble and creative then someone is both humble and not curious. Everyone who is either not calm or not strong is happy or kind. If lucy is both quiet and not r... | Paul is kind. | entailment | (((~quiet(john)<~>tall(john)))<=>(?[X]:((~kind(X)|~generous(X)))))&
(![X]:((tall(X)&kind(X))=>~wise(X)))&
((?[X]:((humble(X)&creative(X))))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~calm(X)<~>~strong(X))=>(happy(X)|kind(X))))&
(((quiet(lucy)&~rich(lucy)))=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|strong(X))<=>(rich(X)&o... | kind(paul) | [
"p5",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 63935328385170883248582
% SZS output start Proof for 63935328385170883248582
6. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (old(X0) & rich(X0))) [input p5]
14. ! [X0] : ((funny(X0) | ~funny(X0)) => ~quiet(X0)) [input p13]
16. ! [X0] : ((~kind(X0) <~> brave(X0)) <=> rich(X0)) [input p15]
19. ... | 0 |
Everyone who is either not strong or strong is either happy or not old. If someone is tall or not funny then lucy is strong. If someone is both not quiet and not happy then someone is creative or not patient. Everyone who is either not quiet or not calm is either not patient or calm and vice versa. Everyone who is not ... | Paul is calm. | contradiction | (![X]:((~strong(X)<~>strong(X))=>(happy(X)<~>~old(X))))&
((?[X]:((tall(X)|~funny(X))))=>(strong(lucy)))&
((?[X]:((~quiet(X)&~happy(X))))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~brave(X)&generous(X))))&
(![X]:((~creative(X)&~happy... | calm(paul) | [
"p0",
"p3",
"p7",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7083676596797679748760272
% SZS output start Proof for 7083676596797679748760272
1. ! [X0] : ((~strong(X0) <~> strong(X0)) => (happy(X0) <~> ~old(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p3]
8. ? [X0] : ~curious(X0) => ? [X0] : (pati... | 0 |
Everyone who is both old and not wise is rich.
If mary is both not quiet and quiet then someone is curious and vice versa.
If someone is quiet then someone is both not tall and not old.
If someone is either not old or not patient then alice is both generous and curious.
Everyone who is not curious is happy or not tall ... | Lucy is not tall. | neutral | (![X]:((old(X)&~wise(X))=>rich(X)))&
(((~quiet(mary)&quiet(mary)))<=>(?[X]:(curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~tall(X)&~old(X)))))&
((?[X]:((~old(X)<~>~patient(X))))=>((generous(alice)&curious(alice))))&
(![X]:(~curious(X)<=>(happy(X)|~tall(X))))&
(((~calm(fred)<~>generous(fred)))<=>(~happy(john)))&
(![X]:((~f... | ~tall(lucy) | [] | null | 0 |
If someone is not funny then someone is not quiet or humble and vice versa.
Everyone who is either not patient or wise is not happy or not quiet and vice versa.
If someone is either rich or not funny then someone is both happy and not kind and vice versa.
Everyone who is rich is both old and quiet.
Everyone who is humb... | Alice is not generous. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((~quiet(X)|humble(X)))))&
(![X]:((~patient(X)<~>wise(X))<=>(~happy(X)|~quiet(X))))&
((?[X]:((rich(X)<~>~funny(X))))<=>(?[X]:((happy(X)&~kind(X)))))&
(![X]:(rich(X)=>(old(X)&quiet(X))))&
(![X]:(humble(X)<=>(~wise(X)<~>~strong(X))))&
((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~old(X)<~>creative... | ~generous(alice) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either happy or not tall and vice versa.
If someone is happy or strong then mary is not generous.
Everyone who is not generous is not patient or not humble and vice versa.
Everyone who is either brave or not quiet is either not quiet... | Fred is generous. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(happy(X)<~>~tall(X))))&
((?[X]:((happy(X)|strong(X))))=>(~generous(mary)))&
(![X]:(~generous(X)<=>(~patient(X)|~humble(X))))&
(![X]:((brave(X)<~>~quiet(X))=>(~quiet(X)<~>happy(X))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative... | generous(fred) | [
"p3",
"p5",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6456544382954305085911313
% SZS output start Proof for 6456544382954305085911313
4. ! [X0] : (~generous(X0) <=> (~humble(X0) | ~patient(X0))) [input p3]
6. ! [X0] : (humble(X0) <=> (wise(X0) <~> rich(X0))) [input p5]
16. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [inp... | 0 |
If paul is both happy and not generous then fred is either old or calm.
Everyone who is not wise or not funny is not old and vice versa.
Everyone who is both not kind and not calm is not happy.
If fred is tall or kind then john is not rich and vice versa.
If mary is both tall and not strong then someone is both rich an... | Mary is tall. | neutral | (((happy(paul)&~generous(paul)))=>((old(fred)<~>calm(fred))))&
(![X]:((~wise(X)|~funny(X))<=>~old(X)))&
(![X]:((~kind(X)&~calm(X))=>~happy(X)))&
(((tall(fred)|kind(fred)))<=>(~rich(john)))&
(((tall(mary)&~strong(mary)))<=>(?[X]:((rich(X)&~humble(X)))))&
((?[X]:((strong(X)|~calm(X))))=>((quiet(susan)<~>~rich(susan))))&
... | tall(mary) | [] | null | 0 |
Everyone who is curious is not brave and vice versa.
If someone is rich or wise then someone is patient.
Everyone who is humble or not creative is either wise or not old and vice versa.
If lucy is either humble or wise then someone is both not quiet and patient and vice versa.
Everyone who is not creative is both stron... | Alice is not quiet. | entailment | (![X]:(curious(X)<=>~brave(X)))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:(patient(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)<~>~old(X))))&
(((humble(lucy)<~>wise(lucy)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~creative(X)<=>(strong(X)&creative(X))))&
(![X]:(~brave(X)<=>(brave(X)&~generous(X))))&
(![X]:((~quiet(X)... | ~quiet(alice) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2867020764686355183977982
% SZS output start Proof for 2867020764686355183977982
5. ! [X0] : (~creative(X0) <=> (creative(X0) & strong(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) <~> kind(X0)) <=> (~calm(X0) <~> kind(X0))) [input p6]
9. ! [X0] : (~calm(X0) <=> creative(X0)) [input p8]
23. q... | 0 |
If someone is not strong or curious then someone is curious or not funny and vice versa.
Everyone who is creative or brave is both not funny and not strong.
Everyone who is both patient and not brave is not happy and vice versa.
Everyone who is not quiet or not patient is not funny or not wise and vice versa.
If alice ... | Lucy is not rich. | entailment | ((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((curious(X)|~funny(X)))))&
(![X]:((creative(X)|brave(X))=>(~funny(X)&~strong(X))))&
(![X]:((patient(X)&~brave(X))<=>~happy(X)))&
(![X]:((~quiet(X)|~patient(X))<=>(~funny(X)|~wise(X))))&
(((calm(alice)|~rich(alice)))=>(?[X]:((~strong(X)<~>~patient(X)))))&
(![X]:((humble(X)&rich... | ~rich(lucy) | [
"p1",
"p6",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6935910069479740923408441
% SZS output start Proof for 6935910069479740923408441
2. ! [X0] : ((brave(X0) | creative(X0)) => (~strong(X0) & ~funny(X0))) [input p1]
7. ! [X0] : ((curious(X0) <~> strong(X0)) => (kind(X0) & funny(X0))) [input p6]
9. ! [X0] : (rich(X0) <=> (~strong(X0) & creat... | 0 |
Everyone who is not funny or old is both not calm and happy and vice versa. Everyone who is not happy or creative is both not old and curious. Everyone who is creative or wise is tall and vice versa. If lucy is either creative or brave then someone is not wise or not patient and vice versa. Everyone who is curious or n... | Mary is not rich. | neutral | (![X]:((~funny(X)|old(X))<=>(~calm(X)&happy(X))))&
(![X]:((~happy(X)|creative(X))=>(~old(X)&curious(X))))&
(![X]:((creative(X)|wise(X))<=>tall(X)))&
(((creative(lucy)<~>brave(lucy)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:((curious(X)|~creative(X))=>(~calm(X)&patient(X))))&
((?[X]:(~wise(X)))=>((rich(alice)&~calm(al... | ~rich(mary) | [] | null | 0 |
If fred is not happy or not old then someone is either not brave or not generous and vice versa. If someone is happy or not creative then alice is not old. If someone is not tall or not generous then someone is both kind and curious. Everyone who is not happy or brave is not creative and vice versa. Everyone who is eit... | Fred is not funny. | entailment | (((~happy(fred)|~old(fred)))<=>(?[X]:((~brave(X)<~>~generous(X)))))&
((?[X]:((happy(X)|~creative(X))))=>(~old(alice)))&
((?[X]:((~tall(X)|~generous(X))))=>(?[X]:((kind(X)&curious(X)))))&
(![X]:((~happy(X)|brave(X))<=>~creative(X)))&
(![X]:((~creative(X)<~>funny(X))=>(kind(X)&patient(X))))&
((?[X]:(~patient(X)))=>(?[X]:... | ~funny(fred) | [
"p2",
"p3",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 275589664017100644134691
% SZS output start Proof for 275589664017100644134691
3. ? [X0] : (~generous(X0) | ~tall(X0)) => ? [X0] : (curious(X0) & kind(X0)) [input p2]
4. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~creative(X0)) [input p3]
15. ? [X0] : funny(X0) => ? [X0] : (~generous(X0) & ri... | 0 |
Everyone who is either quiet or not old is tall and vice versa. If john is not calm then someone is creative and vice versa. Everyone who is kind or curious is either not old or funny and vice versa. Everyone who is either funny or not wise is both strong and not patient and vice versa. Everyone who is either curious o... | John is humble. | neutral | (![X]:((quiet(X)<~>~old(X))<=>tall(X)))&
((~calm(john))<=>(?[X]:(creative(X))))&
(![X]:((kind(X)|curious(X))<=>(~old(X)<~>funny(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~strong(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(curious(X)<=>(funny(X)|strong(X))))&
(![X]:(~wise(X)<=>(... | humble(john) | [] | null | 0 |
Everyone who is either old or calm is either curious or wise and vice versa. Everyone who is curious is both not creative and brave and vice versa. If paul is both not patient and not calm then fred is either not wise or rich. If alice is either not rich or rich then fred is both not curious and not strong and vice ver... | Mary is not rich. | neutral | (![X]:((old(X)<~>calm(X))<=>(curious(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~creative(X)&brave(X))))&
(((~patient(paul)&~calm(paul)))=>((~wise(fred)<~>rich(fred))))&
(((~rich(alice)<~>rich(alice)))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~happy(X)<~>funny(X))<=>strong(X)))&
(![X]:((~tall(X)&~old(X))=>(patient(X)|~p... | ~rich(mary) | [] | null | 0 |
If someone is both creative and rich then someone is both not generous and curious.
If someone is brave or not tall then someone is creative and vice versa.
If susan is not brave or humble then lucy is either not patient or calm.
Everyone who is not wise is both calm and not tall.
Everyone who is funny or creative is n... | Paul is not old. | entailment | ((?[X]:((creative(X)&rich(X))))=>(?[X]:((~generous(X)&curious(X)))))&
((?[X]:((brave(X)|~tall(X))))<=>(?[X]:(creative(X))))&
(((~brave(susan)|humble(susan)))=>((~patient(lucy)<~>calm(lucy))))&
(![X]:(~wise(X)=>(calm(X)&~tall(X))))&
(![X]:((funny(X)|creative(X))<=>~tall(X)))&
(![X]:(happy(X)=>(curious(X)|kind(X))))&
(![... | ~old(paul) | [
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6954360471399400722372997
% SZS output start Proof for 6954360471399400722372997
17. ~old(paul) <~> ~brave(paul) [input p16]
21. brave(paul) & quiet(paul) [input p20]
24. old(paul) [input hypothesis]
73. (brave(paul) | old(paul)) & (~brave(paul) | ~old(paul)) [nnf transformation 17]
124. ... | 0 |
If someone is not happy or not calm then someone is humble or not kind and vice versa.
If john is quiet or strong then someone is strong or wise.
If mary is funny or not calm then someone is both wise and strong and vice versa.
Everyone who is not quiet or kind is not calm or not creative and vice versa.
Everyone who i... | Mary is not calm. | neutral | ((?[X]:((~happy(X)|~calm(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
(((quiet(john)|strong(john)))=>(?[X]:((strong(X)|wise(X)))))&
(((funny(mary)|~calm(mary)))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:((~quiet(X)|kind(X))<=>(~calm(X)|~creative(X))))&
(![X]:(strong(X)<=>(~patient(X)|humble(X))))&
((?[X]:((happy(X)<~>~generous... | ~calm(mary) | [] | null | 0 |
If lucy is both funny and not strong then someone is both kind and not calm. If someone is not generous or not creative then lucy is not rich and vice versa. Everyone who is not curious or not humble is not kind and vice versa. If john is not old or not generous then someone is both not quiet and not rich and vice vers... | Fred is generous. | neutral | (((funny(lucy)&~strong(lucy)))=>(?[X]:((kind(X)&~calm(X)))))&
((?[X]:((~generous(X)|~creative(X))))<=>(~rich(lucy)))&
(![X]:((~curious(X)|~humble(X))<=>~kind(X)))&
(((~old(john)|~generous(john)))<=>(?[X]:((~quiet(X)&~rich(X)))))&
(((~wise(fred)&~patient(fred)))<=>(?[X]:((~rich(X)&~curious(X)))))&
(![X]:((~patient(X)|fu... | generous(fred) | [] | null | 0 |
If someone is not brave then fred is rich.
If john is old or wise then someone is both not funny and not tall and vice versa.
Everyone who is either not patient or not funny is not patient and vice versa.
If someone is curious or not creative then susan is either generous or humble.
Everyone who is either creative or c... | Lucy is not calm. | contradiction | ((?[X]:(~brave(X)))=>(rich(fred)))&
(((old(john)|wise(john)))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:((~patient(X)<~>~funny(X))<=>~patient(X)))&
((?[X]:((curious(X)|~creative(X))))=>((generous(susan)<~>humble(susan))))&
(![X]:((creative(X)<~>calm(X))<=>(~old(X)&~creative(X))))&
(![X]:(humble(X)<=>(calm(X)<~>~humble(X)... | ~calm(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2878567330315320169315804
% SZS output start Proof for 2878567330315320169315804
6. ! [X0] : (humble(X0) <=> (calm(X0) <~> ~humble(X0))) [input p5]
23. ~calm(lucy) [input hypothesis]
42. ! [X0] : ((humble(X0) | ((calm(X0) | humble(X0)) & (~humble(X0) | ~calm(X0)))) & (((humble(X0) | ~calm... | 0 |
Everyone who is kind or old is not brave or not strong and vice versa.
If john is either funny or not patient then mary is both not quiet and not tall.
If someone is either not wise or old then someone is not tall and vice versa.
Everyone who is not tall is both not brave and not patient.
Everyone who is not humble is ... | John is not calm. | neutral | (![X]:((kind(X)|old(X))<=>(~brave(X)|~strong(X))))&
(((funny(john)<~>~patient(john)))=>((~quiet(mary)&~tall(mary))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~tall(X)=>(~brave(X)&~patient(X))))&
(![X]:(~humble(X)=>(~quiet(X)<~>brave(X))))&
(![X]:(quiet(X)<=>(funny(X)&~kind(X))))&
((?[X]:(~strong(X)))... | ~calm(john) | [] | null | 0 |
Everyone who is not calm is not creative or not generous and vice versa.
If mary is both generous and creative then mary is not curious.
If someone is both not rich and generous then someone is both humble and not patient.
If someone is either not quiet or happy then mary is not kind.
If paul is generous or tall then s... | Mary is kind. | contradiction | (![X]:(~calm(X)<=>(~creative(X)|~generous(X))))&
(((generous(mary)&creative(mary)))=>(~curious(mary)))&
((?[X]:((~rich(X)&generous(X))))=>(?[X]:((humble(X)&~patient(X)))))&
((?[X]:((~quiet(X)<~>happy(X))))=>(~kind(mary)))&
(((generous(paul)|tall(paul)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:(creative(X)<=>(~strong... | kind(mary) | [
"p3",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6005623846112173295642730
% SZS output start Proof for 6005623846112173295642730
4. ? [X0] : (~quiet(X0) <~> happy(X0)) => ~kind(mary) [input p3]
11. ! [X0] : ((~strong(X0) <~> ~quiet(X0)) <=> (kind(X0) | strong(X0))) [input p10]
12. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (~kind(X0) & ~hap... | 0 |
Everyone who is both patient and not happy is humble or not rich.
If someone is not brave or strong then someone is not happy or funny and vice versa.
If someone is both not old and patient then someone is not old.
Everyone who is both not kind and not brave is humble and vice versa.
If lucy is not strong then someone ... | Fred is tall. | entailment | (![X]:((patient(X)&~happy(X))=>(humble(X)|~rich(X))))&
((?[X]:((~brave(X)|strong(X))))<=>(?[X]:((~happy(X)|funny(X)))))&
((?[X]:((~old(X)&patient(X))))=>(?[X]:(~old(X))))&
(![X]:((~kind(X)&~brave(X))<=>humble(X)))&
((~strong(lucy))=>(?[X]:((~wise(X)&kind(X)))))&
(![X]:(~quiet(X)<=>(~strong(X)|~humble(X))))&
((?[X]:(old... | tall(fred) | [
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3536954291952234252973572
% SZS output start Proof for 3536954291952234252973572
6. ! [X0] : (~quiet(X0) <=> (~humble(X0) | ~strong(X0))) [input p5]
10. ! [X0] : (quiet(X0) <=> (calm(X0) & ~strong(X0))) [input p9]
15. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~happy(X0) | ~quiet(X0))) [in... | 0 |
If alice is humble then someone is both rich and not generous and vice versa.
Everyone who is not curious or not brave is not calm or wise and vice versa.
If someone is both funny and not kind then susan is both kind and calm.
Everyone who is both tall and not tall is not old and vice versa.
If mary is both humble and ... | Paul is generous. | neutral | ((humble(alice))<=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~calm(X)|wise(X))))&
((?[X]:((funny(X)&~kind(X))))=>((kind(susan)&calm(susan))))&
(![X]:((tall(X)&~tall(X))<=>~old(X)))&
(((humble(mary)&~brave(mary)))<=>((~humble(susan)|~funny(susan))))&
(((~tall(paul)|generous(paul)))=>((wise(susa... | generous(paul) | [] | null | 0 |
Everyone who is curious or strong is not happy or not calm and vice versa.
Everyone who is either not strong or not tall is not rich and vice versa.
Everyone who is rich is humble and vice versa.
Everyone who is quiet is not calm or patient.
Everyone who is both calm and generous is both not humble and brave.
Everyone ... | Lucy is not patient. | contradiction | (![X]:((curious(X)|strong(X))<=>(~happy(X)|~calm(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>~rich(X)))&
(![X]:(rich(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~calm(X)|patient(X))))&
(![X]:((calm(X)&generous(X))=>(~humble(X)&brave(X))))&
(![X]:((~wise(X)|curious(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~rich... | ~patient(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7309638799933113357330927
% SZS output start Proof for 7309638799933113357330927
1. ! [X0] : ((strong(X0) | curious(X0)) <=> (~calm(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~rich(X0)) [input p1]
4. ! [X0] : (quiet(X0) => (patient(X0) | ~calm(X0))) [input ... | 0 |
Everyone who is kind is either not quiet or kind and vice versa.
If someone is not calm then mary is not humble or rich.
Everyone who is humble or not funny is both funny and not strong.
If paul is either calm or rich then lucy is both wise and not tall and vice versa.
If someone is generous then someone is not humble ... | Mary is happy. | neutral | (![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(mary)<~>humble(mary)))<=>((~old(susan)&~brave(susan))))&
... | happy(mary) | [] | null | 0 |
If paul is both creative and not creative then someone is either strong or humble.
Everyone who is both tall and not kind is either wise or kind and vice versa.
If someone is not old or not kind then someone is either funny or not curious.
Everyone who is not curious is not strong or not happy.
Everyone who is either n... | Mary is not curious. | entailment | (((creative(paul)&~creative(paul)))=>(?[X]:((strong(X)<~>humble(X)))))&
(![X]:((tall(X)&~kind(X))<=>(wise(X)<~>kind(X))))&
((?[X]:((~old(X)|~kind(X))))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:(~curious(X)=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)<~>strong(X))))&
(![X]:((~calm(X)&~rich(X)... | ~curious(mary) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 56589372674093314741140
% SZS output start Proof for 56589372674093314741140
13. (~curious(mary) & old(mary)) <=> ? [X0] : (quiet(X0) | funny(X0)) [input p12]
23. ? [X0] : (funny(X0) | quiet(X0)) [input p22]
25. curious(mary) [input hypothesis]
62. ((~curious(mary) & old(mary)) | ! [X0] :... | 0 |
Everyone who is either not happy or happy is both wise and tall and vice versa.
Everyone who is both not kind and old is not creative.
Everyone who is creative or not strong is both strong and curious.
If lucy is either not strong or not creative then someone is both not happy and not patient and vice versa.
If someone... | Mary is curious. | contradiction | (![X]:((~happy(X)<~>happy(X))<=>(wise(X)&tall(X))))&
(![X]:((~kind(X)&old(X))=>~creative(X)))&
(![X]:((creative(X)|~strong(X))=>(strong(X)&curious(X))))&
(((~strong(lucy)<~>~creative(lucy)))<=>(?[X]:((~happy(X)&~patient(X)))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:(kind(X))))&
(![X]:((generous(X)<~>old(X))<=>(~humbl... | curious(mary) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8418852987367274306837849
% SZS output start Proof for 8418852987367274306837849
1. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (tall(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~strong(X0) | creative(X0)) => (curious(X0) & strong(X0))) [input p2]
6. ! [X0] : ((generous(X0) <~> old(X0)) <=> (~... | 0 |
Everyone who is not strong is both happy and patient.
Everyone who is both old and happy is tall.
Everyone who is either not kind or quiet is either not kind or generous.
Everyone who is either not wise or not quiet is kind and vice versa.
Everyone who is kind or not generous is both not strong and wise.
Everyone who i... | Mary is not calm. | contradiction | (![X]:(~strong(X)=>(happy(X)&patient(X))))&
(![X]:((old(X)&happy(X))=>tall(X)))&
(![X]:((~kind(X)<~>quiet(X))=>(~kind(X)<~>generous(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>kind(X)))&
(![X]:((kind(X)|~generous(X))=>(~strong(X)&wise(X))))&
(![X]:((creative(X)|quiet(X))=>(strong(X)<~>~generous(X))))&
(![X]:((~kind(X)|~happ... | ~calm(mary) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7375071962523841886692979
% SZS output start Proof for 7375071962523841886692979
1. ! [X0] : (~strong(X0) => (patient(X0) & happy(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> quiet(X0)) => (~kind(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> kind(X0)) [inpu... | 0 |
Everyone who is not wise is rich and vice versa. Everyone who is not kind is not creative and vice versa. If alice is either not kind or quiet then someone is not strong or not brave and vice versa. Everyone who is either humble or brave is not brave and vice versa. Everyone who is either not patient or not quiet is ei... | John is curious. | neutral | (![X]:(~wise(X)<=>rich(X)))&
(![X]:(~kind(X)<=>~creative(X)))&
(((~kind(alice)<~>quiet(alice)))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~funny(X)))=>((~... | curious(john) | [] | null | 0 |
Everyone who is funny is not strong or not brave.
Everyone who is either strong or not quiet is either rich or strong and vice versa.
If someone is not patient then someone is either tall or not funny and vice versa.
Everyone who is curious or not brave is both not patient and curious and vice versa.
Everyone who is no... | Alice is not calm. | neutral | (![X]:(funny(X)=>(~strong(X)|~brave(X))))&
(![X]:((strong(X)<~>~quiet(X))<=>(rich(X)<~>strong(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((tall(X)<~>~funny(X)))))&
(![X]:((curious(X)|~brave(X))<=>(~patient(X)&curious(X))))&
(![X]:((~wise(X)|~strong(X))=>creative(X)))&
(((~patient(lucy)|humble(lucy)))=>((~brave(john)|curious(... | ~calm(alice) | [] | null | 0 |
Everyone who is either not kind or humble is not curious or humble. If alice is not kind or not generous then someone is humble or patient and vice versa. Everyone who is funny or strong is curious or old. Everyone who is either humble or not humble is not funny. Everyone who is either curious or generous is not happy ... | Fred is not humble. | contradiction | (![X]:((~kind(X)<~>humble(X))=>(~curious(X)|humble(X))))&
(((~kind(alice)|~generous(alice)))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:((funny(X)|strong(X))=>(curious(X)|old(X))))&
(![X]:((humble(X)<~>~humble(X))=>~funny(X)))&
(![X]:((curious(X)<~>generous(X))<=>~happy(X)))&
((?[X]:((~tall(X)<~>~old(X))))=>((curious(fr... | ~humble(fred) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1347560891476166372431897
% SZS output start Proof for 1347560891476166372431897
4. ! [X0] : ((humble(X0) <~> ~humble(X0)) => ~funny(X0)) [input p3]
7. ! [X0] : (funny(X0) <=> (tall(X0) | ~humble(X0))) [input p6]
22. ~humble(fred) [input hypothesis]
24. ! [X0] : ((tall(X0) | ~humble(X0)) ... | 0 |
Everyone who is calm is either not calm or not old.
Everyone who is not strong is funny and vice versa.
Everyone who is both quiet and not generous is not wise or brave and vice versa.
Everyone who is kind is not quiet.
If someone is not brave then someone is not calm or tall.
If someone is not rich then someone is bot... | John is rich. | entailment | (![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:(~strong(X)<=>funny(X)))&
(![X]:((quiet(X)&~generous(X))<=>(~wise(X)|brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~calm(X)|tall(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((brave(X)&kind(X)))))&
(![X]:((~happy(X)<~>~humble(X))<=>(~creative(X)&~humble(X))))&... | rich(john) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5089511710282754632827237
% SZS output start Proof for 5089511710282754632827237
3. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (brave(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (kind(X0) => ~quiet(X0)) [input p3]
6. ? [X0] : ~rich(X0) => ? [X0] : (kind(X0) & brave(X0)) [input p5]
19. ~rich(j... | 0 |
If susan is not kind or strong then someone is both creative and not strong and vice versa. If lucy is both patient and funny then paul is either not brave or not curious and vice versa. Everyone who is either not wise or not funny is calm and vice versa. If paul is not patient then someone is not humble. Everyone who ... | John is humble. | contradiction | (((~kind(susan)|strong(susan)))<=>(?[X]:((creative(X)&~strong(X)))))&
(((patient(lucy)&funny(lucy)))<=>((~brave(paul)<~>~curious(paul))))&
(![X]:((~wise(X)<~>~funny(X))<=>calm(X)))&
((~patient(paul))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>~calm(X)))&
(![X]:((~funny(X)|~patient(X))<=>(~wise(X)&~humbl... | humble(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6560195532393691519432869
% SZS output start Proof for 6560195532393691519432869
1. (strong(susan) | ~kind(susan)) <=> ? [X0] : (~strong(X0) & creative(X0)) [input p0]
5. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> ~calm(X0)) [input p4]
6. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~humb... | 0 |
If john is both old and humble then paul is both rich and old.
Everyone who is both not patient and patient is kind.
If someone is either happy or not happy then someone is both not kind and not happy.
If john is not curious then paul is not brave and vice versa.
If susan is not generous then someone is either wise or ... | Mary is not patient. | neutral | (((old(john)&humble(john)))=>((rich(paul)&old(paul))))&
(![X]:((~patient(X)&patient(X))=>kind(X)))&
((?[X]:((happy(X)<~>~happy(X))))=>(?[X]:((~kind(X)&~happy(X)))))&
((~curious(john))<=>(~brave(paul)))&
((~generous(susan))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~wise(X)&curious(X))=>(~creative(X)|humble(X))))&
(![X... | ~patient(mary) | [] | null | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa. If paul is not old or generous then someone is brave. Everyone who is either kind or not kind is both old and not wise. If someone is either quiet or not patient then someone is both generous and not brave and vice versa. If someone is... | Paul is old. | entailment | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
(((~old(paul)|generous(paul)))=>(?[X]:(brave(X))))&
(![X]:((kind(X)<~>~kind(X))=>(old(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((calm(X)|curious(X))))=>((kind(paul)|rich(paul))))&
((?[X]:((~quiet(X)|wise(X... | old(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5245097556277743535830448
% SZS output start Proof for 5245097556277743535830448
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~wise(X0) & old(X0))) [input p2]
24. ~old(paul) [input hypothesis]
31. ! [X0] : ((~wise(X0) & old(X0)) | (kind(X0) <=> ~kind(X0))) [ennf transformation 3]
47. ! [X0] ... | 0 |
Everyone who is not funny or not tall is generous or creative and vice versa.
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and n... | John is creative. | contradiction | (![X]:((~funny(X)|~tall(X))<=>(generous(X)|creative(X))))&
(((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(!... | creative(john) | [
"p0",
"p3",
"p6",
"p7",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1667822552209390251646134
% SZS output start Proof for 1667822552209390251646134
1. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (creative(X0) | generous(X0))) [input p0]
4. ! [X0] : (~curious(X0) <=> funny(X0)) [input p3]
7. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (kind(X0) | ~old(X0))) [... | 0 |
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